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In this paper, we propose a Susceptible-Infected-Removal (SIR) model with time fused coefficients. In particular, our proposed model discovers the underlying time homogeneity pattern for the SIR model's transmission rate and removal rate…

Applications · Statistics 2021-03-11 Hou-Cheng Yang , Yishu Xue , Yuqing Pan , Qingyang Liu , Guanyu Hu

A finite mixture model is used to learn trends from the currently available data on coronavirus (COVID-19). Data on the number of confirmed COVID-19 related cases and deaths for European countries and the United States (US) are explored. A…

Applications · Statistics 2021-09-16 Semhar Michael , Xuwen Zhu , Volodymyr Melnykov

The fast transmission rate of COVID-19 worldwide has made this virus the most important challenge of year 2020. Many mitigation policies have been imposed by the governments at different regional levels (country, state, county, and city) to…

Applications · Statistics 2022-05-04 Yue Bai , Abolfazl Safikhani , George Michailidis

The spread of diseases has been studied for many years, but it receives a particular focus recently due to the outbreak and spread of COVID-19. Studies show that the spread of COVID-19 can be characterized by the…

Machine Learning · Computer Science 2022-04-12 Xiaoxu Zhong , Yukun Ye

The SARS-CoV-2 infectious outbreak has rapidly spread across the globe and precipitated varying policies to effectuate physical distancing to ameliorate its impact. In this study, we propose a new hybrid machine learning model, SIRNet, for…

Populations and Evolution · Quantitative Biology 2020-04-23 Nicholas Soures , David Chambers , Zachariah Carmichael , Anurag Daram , Dimpy P. Shah , Kal Clark , Lloyd Potter , Dhireesha Kudithipudi

Standard epidemiological models for COVID-19 employ variants of compartment (SIR) models at local scales, implicitly assuming spatially uniform local mixing. Here, we examine the effect of employing more geographically detailed diffusion…

Mutating variants of COVID-19 have been reported across many US states since 2021. In the fight against COVID-19, it has become imperative to study the heterogeneity in the time-varying transmission rates for each variant in the presence of…

Populations and Evolution · Quantitative Biology 2022-05-17 K. D. Olumoyin , A. Q. M. Khaliq , K. M. Furati

I estimate the Susceptible-Infected-Recovered (SIR) epidemic model for Coronavirus Disease 2019 (COVID-19). The transmission rate is heterogeneous across countries and far exceeds the recovery rate, which enables a fast spread. In the…

Populations and Evolution · Quantitative Biology 2020-03-27 Alexis Akira Toda

This study introduces a stochastic model of COVID-19 transmission tailored to the Colorado School of Mines campus and evaluates surveillance testing strategies within a university context. Enhancing the conventional SEIR framework with…

Applications · Statistics 2024-04-09 Laura Albrecht , Karin Leiderman , Suzanne Sindi , Douglas Nychka

With the prevailing efforts to combat the coronavirus disease 2019 (COVID-19) pandemic, there are still uncertainties that are yet to be discovered about its spread, future impact, and resurgence. In this paper, we present a three-stage…

Machine Learning · Statistics 2024-06-19 Oluwaseun T. Ajayi , Yu Cheng

Since the outbreak of COVID-19, an astronomical number of publications on the pandemic dynamics appeared in the literature, of which many use the susceptible infected removed (SIR) and susceptible exposed infected removed (SEIR) models, or…

Machine Learning · Computer Science 2021-11-03 Hua-Liang Wei , S. A. Billings

We propose a high dimensional Bayesian inference framework for learning heterogeneous dynamics of a COVID-19 model, with a specific application to the dynamics and severity of COVID-19 inside and outside long-term care (LTC) facilities. We…

Methodology · Statistics 2021-08-04 Peng Chen , Keyi Wu , Omar Ghattas

Susceptible-Exposed-Infectious-Recovered (SEIR) models with inter-individual variation in susceptibility or exposure to infection were proposed early in the COVID-19 pandemic as a potential element of the mathematical/statistical toolset…

Applications · Statistics 2025-10-28 Ibrahim Mohammed , Chris Robertson , M. Gabriela M. Gomes

The outbreak of Coronavirus Disease 2019 (COVID-19) is an ongoing pandemic affecting over 200 countries and regions. Inference about the transmission dynamics of COVID-19 can provide important insights into the speed of disease spread and…

Methodology · Statistics 2020-07-06 Tianjian Zhou , Yuan Ji

We present CRISP (COVID-19 Risk Score Prediction), a probabilistic graphical model for COVID-19 infection spread through a population based on the SEIR model where we assume access to (1) mutual contacts between pairs of individuals across…

Social and Information Networks · Computer Science 2022-07-04 Ralf Herbrich , Rajeev Rastogi , Roland Vollgraf

We are currently facing a highly critical case of a world-wide pandemic. The novel coronavirus (SARS-CoV-2, a.k.a. COVID-19) has proved to be extremely contagious and the original outbreak from Asia has now spread to all continents. This…

Physics and Society · Physics 2020-06-26 Priyanka , Vicky Verma

Currently, novel coronavirus disease 2019 (COVID-19) is a big threat to global health. The rapid spread of the virus has created pandemic, and countries all over the world are struggling with a surge in COVID-19 infected cases. There are no…

Applications · Statistics 2020-09-08 Se Yoon Lee , Bowen Lei , Bani K. Mallick

Coronavirus COVID-19 spreads through the population mostly based on social contact. To gauge the potential for widespread contagion, to cope with associated uncertainty and to inform its mitigation, more accurate and robust modelling is…

Compartmental models like the Susceptible-Infected-Recovered (SIR)\cite{Kermack1927} and its extensions such as the Susceptible-Exposed-Infected-Recovered (SEIRS)\cite{Ottar2020,Ignazio2021,Grimm2021,Paoluzzi2021} are commonly used to model…

Populations and Evolution · Quantitative Biology 2025-07-14 Kasturi Banerjee , Subhankar Ray , Jayalakshmi Shamanna

The coronavirus disease 2019 (COVID-19) pandemic radically impacts our lives, while the transmission/infection and recovery dynamics of COVID-19 remain obscure. A time-dependent Susceptible, Exposed, Infectious, and Recovered (SEIR) model…

Populations and Evolution · Quantitative Biology 2020-04-01 Yong Zhang , Xiangnan Yu , HongGuang Sun , Geoffrey R. Tick , Wei Wei , Bin Jin
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